Stirling's approximation for central extended binomial coefficients
Probability
2016-08-05 v3 Discrete Mathematics
Combinatorics
Abstract
We derive asymptotic formulas for central extended binomial coefficients, which are generalizations of binomial coefficients. To do so, we relate the exact distribution of the sum of independent discrete uniform random variables to the asymptotic distribution, obtained from the Central Limit Theorem and a local limit variant.
Cite
@article{arxiv.1203.2122,
title = {Stirling's approximation for central extended binomial coefficients},
author = {Steffen Eger},
journal= {arXiv preprint arXiv:1203.2122},
year = {2016}
}
Comments
Slight modification of journal version; title fixed